TY - JOUR
T1 - Mixed finite elements for Bingham flow in a pipe
AU - Gustafsson, Tom
AU - Lederer, Philip L.
N1 - Funding Information:
The numerical results (see [] for source code) were created using scikit-fem [] which relies heavily on NumPy [], SciPy [] and Matplotlib []. The work was supported by the Academy of Finland (decisions 324611 and 338341).
Publisher Copyright:
© 2022, The Author(s).
PY - 2022/12
Y1 - 2022/12
N2 - We consider mixed finite element approximations of viscous, plastic Bingham flow in a cylindrical pipe. A novel a priori and a posteriori error analysis is introduced which is based on a discrete mesh dependent norm for the normalized Lagrange multiplier. This allows proving stability for various conforming finite elements. Numerical examples are presented to support the theory and to demonstrate adaptive mesh refinement.
AB - We consider mixed finite element approximations of viscous, plastic Bingham flow in a cylindrical pipe. A novel a priori and a posteriori error analysis is introduced which is based on a discrete mesh dependent norm for the normalized Lagrange multiplier. This allows proving stability for various conforming finite elements. Numerical examples are presented to support the theory and to demonstrate adaptive mesh refinement.
UR - http://www.scopus.com/inward/record.url?scp=85141705993&partnerID=8YFLogxK
U2 - 10.1007/s00211-022-01332-w
DO - 10.1007/s00211-022-01332-w
M3 - Article
SN - 0945-3245
VL - 152
SP - 819
EP - 840
JO - Numerische Mathematik
JF - Numerische Mathematik
IS - 4
ER -